80397200 has 60 divisors (see below), whose sum is σ = 208025748. Its totient is φ = 29683200.

The previous prime is 80397169. The next prime is 80397209. The reversal of 80397200 is 279308.

It can be written as a sum of positive squares in 6 ways, for example, as 18113536 + 62283664 = 4256^2 + 7892^2 .

It is not an unprimeable number, because it can be changed into a prime (80397209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2531 + ... + 12930.

Almost surely, 2^80397200 is an apocalyptic number.

80397200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80397200 is an abundant number, since it is smaller than the sum of its proper divisors (127628548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80397200 is a wasteful number, since it uses less digits than its factorization.

80397200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15492 (or 15481 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 80397200 is about 8966.4485723167. The cubic root of 80397200 is about 431.5988789234.

The spelling of 80397200 in words is "eighty million, three hundred ninety-seven thousand, two hundred".